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Finding the Fourth Proportional to 905.93, 1,356.25 and 687.42

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Solution

The fourth proportional to 905.93, 1,356.25 and 687.42 is: 1,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.93 : 1,356.25 = 687.42 : x
  2. Step 2: Convert to fraction form
    905.93/1,356.25 = 687.42/x
  3. Step 3: Cross multiply
    905.93x = 1,356.25 × 687.42
  4. Step 4: Simplify right side
    905.93x = 932,306.81
  5. Step 5: Solve for x
    x = 932,306.81/905.93
  6. Step 6: Final answer
    x = 1,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.